GCD of 340, 270, 162, 775 Calculator

Given Input numbers are 340, 270, 162, 775

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Greatest Common Divisior

We found the divisors of 340, 270, 162, 775 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 270, 162, 775 is 1.

Therefore, GCD of numbers 340, 270, 162, 775 is 1

Given Input Data is 340, 270, 162, 775

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 775 is 5 x 5 x 31

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(340, 270) = 9180

GCD(340, 270) = ( 340 x 270 ) / 9180

GCD(340, 270) = 91800 / 9180

GCD(340, 270) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 162

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(10, 162) = 810

GCD(10, 162) = ( 10 x 162 ) / 810

GCD(10, 162) = 1620 / 810

GCD(10, 162) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 775

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 775) = 1550

GCD(2, 775) = ( 2 x 775 ) / 1550

GCD(2, 775) = 1550 / 1550

GCD(2, 775) = 1

GCD of 340, 270, 162, 775 is 1

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1. What is the GCD of 340, 270, 162, 775?

GCD of 340, 270, 162, 775 is 1

2. Where do I get the detailed procedure to find GCD of 340, 270, 162, 775?

You can find a detailed procedure to find GCD of 340, 270, 162, 775 on our page.

3. How to find GCD of 340, 270, 162, 775 on a calculator?

You can find the GCD of 340, 270, 162, 775 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.